Least Common Multiple of 473/645, 821/756, 253/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 473/645, 821/756, 253/968 quickly i.e. 8931659 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 473/645, 821/756, 253/968 is 8931659.

LCM(473/645, 821/756, 253/968) = 8931659

LCM of 473/645, 821/756, 253/968

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 473/645,821/756,253/968

Given numbers are 473/645,821/756,253/968

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 473,821,253

Least Common Multiple of Numerators i.e. LCM of 473,821,253 is 8931659.

GCF of Denominators means GCF of 645,756,968 as per the given fractions.

GCF of 645,756,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 473,821,253

LCM of Fractions 473/645,821/756,253/968 is 8931659

11 473, 821, 253
43, 821, 23

∴ So the LCM of the given numbers is 11 x 43 x 821 x 23 = 8931659

Least Common Multiple of 473,821,253 with GCF Formula

Least Common Multiple of 473,821,253 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 473,821,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,821,253) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(473,821,253) x common factors =1 x 11 = 11

LCM(473,821,253) = ( 473 × 821 × 253 ) / 11

LCM(473,821,253) = 98248249 / 11

LCM(473,821,253) = 8931659


Lets's calculate GCF of 645,756,968

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8931659/1

Therefore the LCM of Fractions 473/645,821/756,253/968 is 8931659

Greatest Common Factor of 645,756,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,756,968 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 645,756,968 . The biggest common factor number is the GCF number.
So the greatest common factor 645,756,968 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 473/645, 821/756, 253/968

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 473/645, 821/756, 253/968?

Answer: LCM of Numerators as per given numbers 473/645, 821/756, 253/968 is

LCM of Numerators i.e. for 473,821,253 is 8931659

GCF of denominators i.e. for 645,756,968 is 1.

Thus, LCM of Fractions is 8931659.Finally, LCM of Fractions for 473/645, 821/756, 253/968 is 8931659.